What are Platonic Solids?
In three-dimensional space, a Platonic solid is a regular, convex polyhedron. It is constructed by congruent (identical in shape and size), regular (all angles equal and all sides equal), polygonal faces with the same number of faces meeting at each vertex. Five solids who meet this criteria are Tetrahedron {3,3} , Cube {4,3} , Octahedron {3,4} , Dodecahedron {5,3} , Icosahedron {3,5} ; where in {p, q}, p represents the number of edges in a face and q represents the number of edges meeting at a vertex; {p, q} is the Schläfli symbol.
How to Calculate Lateral Surface Area of Icosahedron given Space Diagonal?
Lateral Surface Area of Icosahedron given Space Diagonal calculator uses Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*((2*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5)))))^2 to calculate the Lateral Surface Area of Icosahedron, The Lateral Surface Area of Icosahedron given Space Diagonal formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Icosahedron and is calculated using the space diagonal of the Icosahedron. Lateral Surface Area of Icosahedron is denoted by LSA symbol.
How to calculate Lateral Surface Area of Icosahedron given Space Diagonal using this online calculator? To use this online calculator for Lateral Surface Area of Icosahedron given Space Diagonal, enter Space Diagonal of Icosahedron (d_{Space}) and hit the calculate button. Here is how the Lateral Surface Area of Icosahedron given Space Diagonal calculation can be explained with given input values -> 777.6921 = 9*sqrt(3)/2*((2*19)/(sqrt(10+(2*sqrt(5)))))^2.